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Finding the Fourth Proportional to 215.44, 322.68 and 142.96

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Solution

The fourth proportional to 215.44, 322.68 and 142.96 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 322.68 = 142.96 : x
  2. Step 2: Convert to fraction form
    215.44/322.68 = 142.96/x
  3. Step 3: Cross multiply
    215.44x = 322.68 × 142.96
  4. Step 4: Simplify right side
    215.44x = 46,130.33
  5. Step 5: Solve for x
    x = 46,130.33/215.44
  6. Step 6: Final answer
    x = 214.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.